Enrique Gonzalo Reyes Garcia
Associate Professor
UNIVERSIDAD DE SANTIAGO DE CHILE
Santiago, Chile
Mathematical Physics, Differential Equations, Differential Geometry
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Mathematics, MCGILL UNIVERSITY. Canada, 1999
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Mathematics, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 1988
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Mathematics, University of Saskatchewan. Canada, 1993
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Faculty Lecturer Part Time
PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE
Matemáticas
Santiago, Chile
1989 - 1989
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Research Assistant Part Time
University of Saskatchewan
Arts and Science
Saskatoon, Canada
1991 - 1994
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Faculty Lecturer Part Time
MCGILL UNIVERSITY
Arts and Science
Montreal, Chile
1994 - 1998
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Visiting Assistant Professor Full Time
Utah State University
Arts and Science
Logan, Estados Unidos
1998 - 1999
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Faculty Lecturer Part Time
Yale University
Arts and Science
New Haven, Chile
2000 - 2001
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Visiting Assistant Professor Full Time
University of Oklahoma
Arts and Science
Norman, Estados Unidos
2001 - 2003
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Associate Professor Full Time
UNIVERSIDAD DE SANTIAGO DE CHILE
Ciencia
Santiago, Chile
2003 - A la fecha
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Postdoctoral Researcher Full Time
University of Minnesota
Arts and Science
Minneapolis, Estados Unidos
1999 - 1999
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Postdoctoral Researcher Full Time
Centre de recherches mathematiques
n/a
Montreal, Canada
1999 - 1999
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Postdoctoral Researcher Full Time
YALE UNIVERSITY
Arts and Science
New Haven, Estados Unidos
2000 - 2001
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Associate Professor Full Time
Universidad de Santiago de Chile
Santiago, Chile
2003 - A la fecha
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Visiting Assistant Professor Full Time
University of Oklahoma
Norman, Estados Unidos
2001 - 2003
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Faculty Lecturer Part Time
Yale University
New Haven, Estados Unidos
2000 - 2001
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Visiting Assistant Professor Full Time
Utah State University
Logan, Estados Unidos
1998 - 1999
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Faculty Lecturer Part Time
McGill University
Montreal, Canada
1994 - 1998
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Teaching Assistant Part Time
University of Saskatchewan
Saskatoon, Canada
1991 - 1994
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Faculty Lecturer Part Time
Pontificia Universidad Catolica de Chile
Santiago, Chile
1989 - 1989
THESIS ADVISING
1. (Advisor) “Introduction to the Yamabe Problem". Honors Thesis written by Christian Andre Droguett-Aguila, Universidad de Santiago de Chile, 2005.
2. (Advisor) “The Gauss-Bonnet-Chern Theorem". Master of Science Thesis written by Rodrigo Quezada Aguayo, Universidad de Santiago de Chile, 2013.
3. (Advisor) “Central extensions and Manin triples for algebras of pseudodifferential operators in one
and several variables”. Ph.D. Thesis written by Jarnishs Beltran Mejia, Universidad de Santiago de Chile, 2013.
4. (Advisor) “Some geometric aspects of fluid mechanics". Master of Science Thesis written by Eugenio Rivera Mancilla, Universidad de
Santiago de Chile, 2013.
5. (Advisor) “Newton da Costa structures and their Applications". Master of Science Thesis written by Vidal Navarro Mena, Universidad de Santiago
de Chile, 2013.
6. (Advisor) “Differential graded algebras, A? -algebras and Hodge theory". Master of Science Thesis written by Maria Jose Moreno Silva, Universidad de Santiago de Chile, 2014.
7. (Co-advisor) “Mathematical models of associative learning: an introduction with simulations".
Master of Science Thesis written by Omar Perez Riveros, Universidad de Santiago de Chile, 2013.
PARTICIPATION IN THESIS COMMISSIONS
1. (Member, Thesis Commission) “Periodic orbits and entropy of applications of the interval". M.Sc. Mathematics Thesis written by
Alvaro Castaneda, Universidad de Santiago de Chile, 2006.
2. (Member, Thesis Commission) "Dynamical aspects of König's method." M.Sc. Mathematics Thesis written by Gerardo Honorato,
Universidad de Santiago de Chile, 2006.
3. (Member, Thesis Commission) “Equations ut = uxxxxx + G(u, ..., uxxxx ) describing pseudo-spherical surfaces with
fp1 = ?p f11 + ?p , 2 ? p ? 3". Ph.D. Thesis written by Verissimo Pereira Gomes-Neto, Universidade de Bras?lia, 2010.
4. (Member, Thesis Commission) “Higher order iterative methods on Riemannian manifolds”. Ph.D.
Thesis written by Rodrigo Castro Marin, Universidad de Santiago de Chile, 2011.
5. (Member, Thesis Commission) “On the Cauchy problem for an equation in fractional derivatives". Master of Science
Thesis written by Cristhian Montoya, Universidad de Santiago de Chile, 2012.
6. (Member, Thesis Commission) “The heat kernel on metric spaces with measure and its application to a difusion equation".
Master of Science Thesis written by Jose Ramirez Molina, Universidad de Santiago de Chile, 2013.
7. (Member, Thesis Commission) “The Polya transform method in the study of equations in infinitely many derivatives". Master of Science Thesis written by Ignacio Olea Carrera, Universidad de Chile, 2014.
8. (Member, Thesis Commision) “Stafford Beer’s Team Syntegrity Methodology". Engineering Undergraduate Thesis
written by Benito Contreras Sepulveda, Universidad de Santiago de Chile, 2006.
9. (Member, Thesis Commission) “An introduction to non-euclidean geometry via
Girard’s theorem. An educational perspective". Final Project for a Physics and Mathematics
Secondary Education Teaching Diploma, written by Oscar Barraza Figueroa and Rolando
Reyes Labb ?, Universidad de Santiago de Chile, 2012.
CURRENT GRADUATE STUDENTS
1. Miguel Bezares (M.Sc.) "The Cauchy problem in General Relativity". To graduate on December 2014
2. Gonzalo Palomera (M.Sc.) "Hamiltonian formulation of General Relativity". To graduate on December 2014.
3. Lida Mendoza (Ph.D.) "Categorification results for knots and graphs and some applications". To graduate on December 2014.
4. Samin Cerón (Ph.D.) "Some applications of rational homotopy to the geometry of partial differential equations". To graduate on July 2015.
5. Wilson Arley (Ph.D., co-tutoring) "The Duflo Isomorphism". To graduate on July 2015.
6. Boris Brayovic (Ph.D.) "Geometric aspects of nonlinear supersymmetric equations". To graduate on December 2015.
7. Alvaro Hidalgo (Ph.D.) "Hamiltonian mechanics and Finsler geometry". To graduate on December 2015.
8. Alan Chavez (Ph.D., co-tutoring) "A topological study of Camassa-Holm equation on loop spaces". To graduate July 2016.
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NSERC Postdoctoral Fellowship
Natural Sciences and Engineering Research Council of Canada
Canada, 1999
n/a
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J.W. McConnell McGill Major Fellowship
McGill University, Montreal, Canada
Canada, 1998
Graduate Studies Fellowship
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Special One-Year Faculty of Science McGill Major Fellowship
McGill University, Montreal, Canada
Canada, 1998
Graduate Studies Fellowship
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Graduate Studies Fellowship
Fonds pour la Formation de Chercheurs et l'Aide a la Recherche (FCAR)
Canada, 1997
n/a
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David Stewart Memorial McGill Major Fellowship
McGill University, Montreal, Canada
Canada, 1996
Graduate Studies Fellowship
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Graduate Studies Fellowship
Institut des sciences mathematiques, Montreal
Canada, 1995
n/a
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University of Saskatchewan Scholarship
University of Saskatchewan
Canada, 1994
Graduate Studies Scholarship, during 1992--1994.
On equations with infinitely many derivatives: integral transforms and the Cauchy problem |
The Laplace Transform in the Study of Equations with Infinitely Many Derivatives |